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fiasKO [112]
3 years ago
13

Write the following quadratic in standard form. Then identify a, b, and c. y² - 7y + 6 = -6

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

Therefore,

y^{2}-7y+12=0       ....Standard form.

a=1\\b=-7\\c=12    ......Numerical Coefficients.

Step-by-step explanation:

Given:

y^{2}-7y+6=-6

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

y^{2}-7y+6=-6

Adding 6 on both the side we get

y^{2}-7y+6+6=-6+6

y^{2}-7y+12=0

Which is Quadratic Equation in STANDARD form Where,

a=1\\b=-7\\c=12

Therefore,

y^{2}-7y+12=0       ....Standard form.

a=1\\b=-7\\c=12    ......Numerical Coefficients.

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Find the probability of picking 4 consonant and 1 vowels when 5 letters are picked (without replacement) from a set of alphabet
Ganezh [65]

The required probability is 0.45

We have total 26 letters in english, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

In the third selection the probability is 20/24

In the fourth selection the probability is 19/23

In the last selection the probability is 18/22

So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

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5 0
1 year ago
What is slope? <br><br> Vbxnkdb
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Answer:

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Step-by-step explanation:

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3 years ago
A bus and a train leave the same station at the same time and travel in the same direction along parallel routes. The train runs
MrMuchimi

Answer:

Smallest rate for the train is 50 mph and largest is 60 mph.

For the bus it is 25 and 30 mph.

Step-by-step explanation:

If the speed of the train is 2x then speed of the bus is x mph, and the train travels twice as far as the bus in a given time.

Distance = speed * time

For the largest rate:

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